# Answer Chapter 4 Introduction to Statistics and Probability Edition 13th

4.1 a This experiment involves tossing a single die and observing the outcome. The sample space for this experiment consists of the following simple events: E1: Observe a 1 E4: Observe a 4 E2: Observe a 2 E5: Observe a 5 E3: Observe a 3 E6: Observe a 6

b Events A through F are compound events and are composed in the following manner: A: (E2) D: (E 2) B: (E 2, E 4, E 6) E: (E 2, E 4, E6) C: (E 3, E 4, E 5, E 6) F: contains no simple events

c Since the simple events Ei, i = 1, 2, 3, …, 6 are equally likely, [pic]. d To find the probability of an event, we sum the probabilities assigned to the

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4.10 a There are 38 simple events, each corresponding to a single outcome of the wheel’s spin. The 38 simple events are indicated below. E1: Observe a 1 E2: Observe a 2 [pic] E36: Observe a 36 E37: Observe a 0 E38: Observe a 00 b Since any pocket is just as likely as any other, [pic]. c The event A contains two simple events, E37 and E38. Then [pic]

d Define event B as the event that you win on a single spin. Since you have bet on the numbers 1 through 18, event B contains 18 simple events, E1, E2, …, E18. Then [pic]

4.11 a Experiment: Select three people and record their gender (M or F). b Extend the tree diagram in Figure 4.3 of the text to include one more coin toss (a total of n = 3). Then replace the H and T by M and F to obtain the 8 possible